Let X1, X2, ..., X, be a random sample from a normal population with mean u and variance o? taken independently from another random sample Y1, Y2, ..., Ym from a normal population with mean 0 and variance o?. Let Z; Derive the distribution of T = m (r;-P)² т-1

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3. Let X1, X2, ....
Xn be a random sample from a normal population with mean u and variance o? taken
Ym from a normal population with mean e
independently from another random sample Y1, Y2,
••..
and variance o?. Let Z;
Xi-u
Derive the distribution of T =
(Y;-Y)
o2
т-1
Transcribed Image Text:3. Let X1, X2, .... Xn be a random sample from a normal population with mean u and variance o? taken Ym from a normal population with mean e independently from another random sample Y1, Y2, ••.. and variance o?. Let Z; Xi-u Derive the distribution of T = (Y;-Y) o2 т-1
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